What is the Greatest Common Factor of 634 and 646?
Greatest common factor (GCF) of 634 and 646 is 2.
GCF(634,646) = 2
We will now calculate the prime factors of 634 and 646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 634 and 646.
How to find the GCF of 634 and 646?
We will first find the prime factorization of 634 and 646. After we will calculate the factors of 634 and 646 and find the biggest common factor number .
Step-1: Prime Factorization of 634
Prime factors of 634 are 2, 317. Prime factorization of 634 in exponential form is:
634 = 21 × 3171
Step-2: Prime Factorization of 646
Prime factors of 646 are 2, 17, 19. Prime factorization of 646 in exponential form is:
646 = 21 × 171 × 191
Step-3: Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1, 2, 317
Step-4: Factors of 646
List of positive integer factors of 646 that divides 634 without a remainder.
1, 2, 17, 19, 34, 38, 323
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 634 and 646. The biggest common factor number is the GCF number.
So the greatest common factor 634 and 646 is 2.
Also check out the Least Common Multiple of 634 and 646
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